Title :
Distribution of the sum of a complex Gaussian and the product of two complex Gaussians
Author :
Betlehem, T. ; Coulson, A.J.
Author_Institution :
Ind. Res. Ltd., Lower Hutt, New Zealand
fDate :
Jan. 30 2012-Feb. 2 2012
Abstract :
The probability density function of sum of a complex Gaussian and the product of two complex Gaussians is derived. This distribution occurs in wireless communications where Gaussian signals are transmitted over Rayleigh channels. The result is validated using the Kolmogorov-Smirnov distance and the accuracy of several approximations are compared, including fitted gamma and Nakagami distributions.
Keywords :
Gaussian channels; Nakagami channels; Rayleigh channels; probability; radiocommunication; Gaussian signals; Kolmogorov-Smirnov distance; Nakagami distributions; Rayleigh channels; complex Gaussian; fitted gamma; probability density function; wireless communication; Approximation methods; Convolution; Joints; Nakagami distribution; Random variables; Rayleigh channels; Signal to noise ratio; Gaussian product; Kolmogorov-Smirnov distance; Rayleigh-faded channel; additive white Gaussian noise;
Conference_Titel :
Communications Theory Workshop (AusCTW), 2012 Australian
Conference_Location :
Wellington
Print_ISBN :
978-1-4577-1961-5
DOI :
10.1109/AusCTW.2012.6164918
